Consider the system of differential equations

dx/dt= x+ y=1
dy/dt =1- x^2 +y^2

Required:
Sketch the x-nullcline, where solutions must travel vertically. Identify the regions in the plane where solutions will move toward the right, and where solutions move toward the right.

Answers

Answer 1

Answer:

Step-by-step explanation:

Given that:

the differential equations:

[tex]\dfrac{dx}{dt}= x+y = 1 \\ \\ \dfrac{dy}{dt}= 1-x^2+y^2[/tex]

For x-nullcline;

[tex]\implies \dfrac{dx}{dt} =0 \\ \\ \implies x+y-1[/tex]

From the image attached below, the sketch of the x-nullcline was carefully drawn and the regions were identified.

So, x-increases at the time when [tex]\dfrac{dx}{dt}>0[/tex]

[tex]\implies x+y -1 >0[/tex]

Thus, the solution move towards the right for  x+y>1

Consider The System Of Differential Equationsdx/dt= X+ Y=1dy/dt =1- X^2 +y^2Required:Sketch The X-nullcline,

Related Questions

Which of the following statistics is used to measure inflation?

Answers

Answer:

.....................

Step-by-step explanation:

As an economic indicator. The CPI is the most widely used measure of inflation and is sometimes viewed as an indicator of the effectiveness of government economic policy.

8. Carol and Curtis are running a half mile race. Curtis finished the race in 11 minutes and 8
seconds. Carol completed the race in 9 minutes and 3 seconds. What is the difference
between their average speed per mile?

Answers

Answer:

Step-by-step explanation:

curtis is 22 min 16 sec carol is 18 min 6 sec

4 mins and 10 seconds it the difference

STOP SENDING ME LINKS BUT I NEED HELP RN
a company has a machine that produces 1080 pounds of sand in 24 hours the machine puts the sand in 5lbs bags how many 5lbs bags can the machine produce in one hour

Answers

45
1080 divided by 24
45

45 5lbs per hour

what is the inverse operations of -5x + 10 = 40

Answers

Answer:

x=-6

Step-by-step explanation:

−5x+10=40

−5x+10−10=40−10

−5x=30

−5x/5=30/5

x=−6

Susan invests $Z at the end of each year for seven years at an annual effective interest rate of 5%. The interest credited at the end of each year is reinvested at an annual effective rate of 6%. The accumulated value at the end of seven years is $X. Lori invests $Z at the end of each year for 14 years at an annual effective interest rate of 2.5%. The interest credited at the end of each year is reinvested at an annual effective rate of 3%. The accumulated value at the end of 14 years is $Y.

Required:
Calculate Y/X.

Answers

Answer:

2.02955

Step-by-step explanation:

Given that:

Susan invests $Z as each year ends for seven years.

So we assume that Z = 1

Susan's accrued value comprises $7 invested each year at a 6 percent annual effective rate.

The cashflow interest:

The cashflow of Susan interest payments are:

Payments   Time

0                     1

0.05               2

2(0.05)           3

3(0.05)           4

4(0.05)            5

5(0.05)            6

6(0.05)            7

The accumulated value of this cash flow is:

[tex](0.05)I_{6\%} = (0.05) \dfrac{((1+0.06)_{6\%} - 6)}{0.06} \\ \\ \implies 1.1653[/tex]

So Susan accumulated values is:

X = 7 + 1.1653

X = 8.1653

Lori's accumulated value is $14, which she has set aside to plan her cash flow for interest.

The cashflow of Lori interest payments are;

Payments    0     0.025     2(0.025)       3(0.025)    .........   13(0.025)

Time             1        2              3                    4            ..........  14

The accumulated value of cash flow is:

[tex](0.025 )(I)_{3\%} =(0.025) \dfrac{(1+0.03)_{3\%}-13}{0.03}\\ \\= 2.5719[/tex]

Now, Lori's accumulated value is:

Y = 14 + 2.5719

Y = 16.5719

Since; Susan value X = 8.1653

Lori's value Y = 16.5719

[tex]\dfrac{Y}{X}= \dfrac{16.5719}{8.1653}[/tex]

= 2.02955

Find the length, width and perimeter of 3 possible different rectangles given the area of 12 square units, Fill out the table below. PLS HELP ​

Answers

Answer:

Bussy

Step-by-step explanation:

in what number base is the addition 456+24+225=1050​

Answers

This additition is false

the true answer is 705

Its base on my understanding:)

꧁✰_______❀Edilyn❀_______✰꧂

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For brainly user:

Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste

Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste You can search on the internet but make your own sentence okay? Thank you

Classify the angle pair using all names that apply

Answers

Answer:

Vertical

Step-by-step explanation:

Answer:

∠1 and ∠3 = vertical

Step-by-step explanation:

vertically opposite angles are equal

A manager at a gas station realized that there appeared to be a quadratic relationship between the price he charged for a doughnut and the number he sold for the day.

Using a quadratic regression model base on the data, how many doughnuts would be predicted to sold if he charges $0.85 for a doughnut?

Answer choice:
a) ≈22
b) ≈25
c) ≈29
d) ≈30

Answers

He sold 28 at 0.75 cents and sold 21 at 0.99 cents.

0.85 is between 0.75 and 0.99 so he sells between 21 and 28 donuts.

0.85 is closer to 0.75 ,so the number should be closer to28.

The answer should be b)25

Evaluate :
[tex] \frac{3}{8} + \frac{2}{9} [/tex]


[tex] \frac{4}{9} + \frac{1}{2} [/tex]

Answers

The first one is 43/72 which can’t be simplified

The second one is 17/18

Please help!! I will venmo

Answers

Answer:

30 cm^2

Step-by-step explanation:

the triangle is 36

the rectangle is 6

36-6=30

A family is trying to pick from different shades of paint for their living room. They have narrowed it down to 10 colors: 3 different blues and 7 different greens. The family decides to just randomly select a color from these. What is the probability they will pick a shade of blue? Choose the answer in percent form. Question 3 options: 50% 100% 70% 30%

Answers

Answer:

30%

Step-by-step explanation:

A family is trying to pick from different shades of paint for their living room. They have narrowed it down to 10 colors: 3 different blues and 7 different greens. The family decides to just randomly select a color from these. What is the probability they will pick a shade of blue? Choose the answer in percent form. Question 3 options: 50% 100% 70% 30%

First, we need to convert the probability of picking a blue shade into a fraction.

= 3/10

Since this is by 10, we need to times 0.3 (numerator) by 10 (the number of outcomes) Whatever you do to the numerator, you do to the denominator. This means that you also times 10 by 10

This gives you 30/100

Since a percentage is out of 100, you don't need to change anything, just take away the 100 and put a percentage sign.

=30%

Answer: It is 30%, and i got proof right here.

Step-by-step explanation:   I got AN (A) on my test so give the first person all those great rating he needs.

Which statement compares the product 9/9 x 5,208, the product 19/20 x 5,208, and the product 13/6 x 5,208?

Answers

Answer:

C

Step-by-step explanation:

[tex]\frac{9}{9}=1[/tex]

[tex]1=\frac{20}{20}[/tex]

[tex]\frac{19}{20} <\frac{20}{20}[/tex]

[tex]\frac{13}{6}=2\frac{1}{6}[/tex]

[tex]1<2\frac{1}{6}[/tex]

The Chandlers are moving across the country. Mr. Chandler leaves 4.5 hours before Mrs. Chandler. If he averages 60 mph and she averages 85 mph, how many hours will it take Mrs. Chandler to catch up to Mr. Chandler?​

Answers

Answer:

3

Step-by-step explanation:

9514 1404 393

Answer:

  10.8 hours

Step-by-step explanation:

Mr. Chandler has a head start of ...

  (4.5 h)(60 mi/h) = 270 mi

Mrs. Chandler is closing the gap at the rate of ...

  (85 mph) -(60 mph) = 25 mph

At that rate, she will close the 270 mile gap in ...

  (270 mi)/(25 mi/h) = 10.8 h

It will take Mrs. Chandler 10.8 hours to catch up.

__

After 15.3 hours, Mr. Chandler will have driven 918 miles.

After 10.8 hours, Mrs. Chandler will have driven 918 miles.

Work out the size of angle x

Answers

Answer:

65°

Step-by-step explanation:

A ladder needs to reach a second-story window that is 15 feet above the ground and make an angle with
the ground of 66°. How far out from the building does the base of the ladder need to be positioned?
Round your answer to the nearest tenth.
The base of the ladder needs to be feet away from the wall.

Answers

Answer:

6.7 ft

Step-by-step explanation:

Given:

Vertical distance = 15 ftHorizontal distance = xAngle with ground = 66°

Use tangent to solve:

tan 66° = 15/xx = 15 / tan 66°x = 6.7 ft (rounded)

Answer:

Solution given:

In right angled triangle ABC

relationship between perpendicular and base is given by tan angle

tan66°=15/AB

AB=15/tan66°=6.678 ft is your answer.

Destinee bought a tablet for $599 and enrolled in a data plan for $25
per month. The total amount y Destinee has paid towards the tablet after x months is found using an equation in the form y = mx + b.
What is the value of m and b?

Answers

Value of m=25x

Value of b=599

y=25x+599

Maria cut a rectangular piece of fabric. The area was 8/10 of a meter. The width was 6/10 of a meter. What was the length of the fabric?

Answers

Answer:

its A  

Step-by-step explanation:

If f(x) = 4x + 2, what is the value of f(3)?

O 8
O 14
O 45
O 66

Answers

Answer:

14

Step-by-step explanation:

the opposite sides of rectangles parallel.

Answers

Answer:

TRUE

Step-by-step explanation:

If that's not the answer you wanted just comment if you need help

help I have already published it 3 times and nobody helps me, could someone help me and explain how to do it? Thank you​

Answers

9514 1404 393

Answer:

  3)  74°

  4)  260°

Step-by-step explanation:

3) Angle CAE is vertical to angle FAB, which is shown as 121°. Vertical angles are congruent. So, we have ...

  ∠DAE +∠DAC = ∠EAC

  ∠DAE + 47° = 121° . . . . . . . fill in known values

  ∠DAE = 121° -47° . . . . . . . . subtract 47°

  ∠DAE = 74°

__

4) arc MJL is the long arc that completes the circle along with short arc MJ. Short arc MJ has the same measure as its central angle, 100°. Then long arc MJL is 360° -100° = 260°.

  arc MJL = 260°

Someone please help me!!! I’m stuck and need help!

Answers

Answer:

12

Step-by-step explanation:

These triangles are similar using the AA theroem. This means there sides are in corresponding proportion.

Side AR and Side TE are corresponding. Use this proportion.

[tex] \frac{6}{8} [/tex]

This side the triangle SAR side lengths are 3/4 of side lengths of triangle SET.

We know that RS+ST=21

And that RS=3/4(ST).

[tex] \frac{3}{4} x + x = 21[/tex]

[tex]1.75x = 21[/tex]

x=12.

Side ST is 12

Please help me ASAP really need help!!!

Answers

Answer:

2.7

Step-by-step explanation:

the scale factor should be consistant as you scale up and down. So you can divide 4.59 by its corresponding side of 1.7 in order to get the scale factor of 2.7. When repeated with the other sides this number should remian consitant.  

PLEASE ANSWER ASAP FOR BRIANLEST DUE IN 3 MIN!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 3rd one

Step-by-step explanation:

Six eggs sat in a basket overnight. A fox
came and took an unknown amount, and
a raccoon came and took an unknown
amount. In the morning, there were only
two eggs left. Write an equation showing
how six eggs were reduced to two eggs.
Use 'f for the number the fox took and 'r
for the number the raccoon took.

Answers

Answer:

6 - F - R = 2

Step-by-step explanation:

Since six eggs sat in a basket overnight, and a fox came and took an unknown amount, and a raccoon came and took an unknown amount, with which in the morning there were only two eggs left, to write an equation showing how six eggs were reduced to two eggs the following reasoning must be raised:

6 = Starting number

F = Eggs stolen by the fox

R = Eggs stolen by the raccoon

6 - F - R = 2

A new car is purchased for \$18,000$18,000 and over time its value depreciates by one half every 3.5 years. How long, to the nearest tenth of a year, would it take for the value of the car to be \$900$900?

Answers

Answer:

15.1

Step-by-step explanation:

Rounding equation up to the nearest hundred dollars, the car's value 19 years later will be around $2,500.

What is equation?

In mathematics, an equation is a statement stating the equality or two expressions. An equation consists of two sides split by an algebraic equation (=). For illustration, the argument "2x + 3 = 9" argues that the statement "2x + 3" is equal to the value "9".

Given that new car is purchased for $18,000 and over time its value depreciates by one half every 3.5 years Because the car depreciates by half every six years, the car's value after t years is provided by:

To determine the worth of the car 19 years after purchase, we have to analyse V(19):

y = 2000

y = a(1/2) ^t/h

q = 18000

h= 3.5

t=19

Therefore,

y = 18,000

y=2,500.52211582

y≈2,500

Thus the car's value 19 years later is around $2,500.

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What is the slope of the line that goes through (0,0) and (6, 3)?

Answers

Answer:

0.5

Step-by-step explanation:

so the slope is also known as the gradient in y=mx+c

Lynda was a horrible waitress. She spilled a drink on you and she brought you the wrong food. The bill came to $56.35 so you left her $3. What was the percent of tip you left her?

Answers

Answer:

5.32 percent of the tip

Will you please help me with my math?

Answers

Answer:

isn't it just 4?

Step-by-step explanation:

according to the table it's just asking you to name what is with x of f(x). I might be wrong though

A=bh, find A when b=93 and h=69 A=

Answers

Answer:

A= 6417

Step-by-step explanation:

A = bh

b = 93

h = 69

A = 93*69

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